Maybe it's some evidence, some artifact of a higher dimension that we can't consciously perceive.

也许是一些证据，一些更高维度的文明，只是我们目前还不能感知。

So a Wormhole bends space like this, so you can take a shortcut through a higher dimension.

虫洞可以把空间像这样折叠起来，于是你可以从更高的维度抄近路。

As with transformations in higher dimensions, like the ones I talked about in chapter three.

就像高维变换一样 就像我在第三章讲的那样。

But if we imagine sliding Mister Triangle into the mirror, there's no way he can cover his mirror image without us rotating him in a higher dimension.

但是如果我们想象三角形先生滑入镜子，如果我们不把他旋转到更高的维度，他不可能遮住他的镜像。

This idea also makes sense in higher dimensions, when the number of equations equals the number of unknowns.

当方程的数量等于未知数的数量时 这个想法在高维也有意义。

But more importantly than that, once you get all the core ideas in two dimensions, they carry over pretty shamelessly to higher dimensions.

但更重要的是 一旦你在二维空间中掌握了所有的核心思想 它们就会毫不羞耻地转移到更高的维度。

Now consider a vertical plane representing a for us inaccessible higher dimension that intersects with the horizontal plane and in doing so, places the random points on a curve that does reveal a meaningful connection.

现在想象一个垂直面，代表我们无法触及的更高次元，让它与水平面相交，这样，那些随机的点会由曲线连结而展现出意义。